Proportionality constant per unit well area of aquifer Calculator

✖Area of the Well is denoted by A symbol.ⓘ Area of the Well [A]			+10% -10%
✖Time interval for any drawdown is peak-to-trough decline during a specific period.ⓘ Time Interval [T_r]			+10% -10%
✖Drawdown at the Start of Recuperation is a term applied to the maximum lowering of the groundwater table.ⓘ Drawdown at the Start of Recuperation [H₁]			+10% -10%
✖Drawdown at a Time is a term applied to the maximum lowering of the groundwater table.ⓘ Drawdown at a Time [H₂]			+10% -10%

✖The proportionality constant depends upon the characteristics of the aquifer and the area of the well. It represents discharge per unit drawdown also called specific capacity of well.ⓘ Proportionality constant per unit well area of aquifer [K₀]

⎘ Copy

👎

Formula

✖

Proportionality constant per unit well area of aquifer

Formula

`"K"_{"0"} = "A"*((1/"T"_{"r"})*ln("H"_{"1"}/"H"_{"2"}))`

Example

`"4.054651"="20m²"*((1/"2s")*ln("15.0m"/"10.0m"))`

Calculator

LaTeX

Reset

👍

Download Engineering Hydrology Formula PDF

Proportionality constant per unit well area of aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time))
K₀ = A*((1/T_r)*ln(H₁/H₂))
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Proportionality Constant - The proportionality constant depends upon the characteristics of the aquifer and the area of the well. It represents discharge per unit drawdown also called specific capacity of well.
Area of the Well - (Measured in Square Meter) - Area of the Well is denoted by A symbol.
Time Interval - (Measured in Second) - Time interval for any drawdown is peak-to-trough decline during a specific period.
Drawdown at the Start of Recuperation - (Measured in Meter) - Drawdown at the Start of Recuperation is a term applied to the maximum lowering of the groundwater table.
Drawdown at a Time - (Measured in Meter) - Drawdown at a Time is a term applied to the maximum lowering of the groundwater table.

STEP 1: Convert Input(s) to Base Unit

Area of the Well: 20 Square Meter --> 20 Square Meter No Conversion Required
Time Interval: 2 Second --> 2 Second No Conversion Required
Drawdown at the Start of Recuperation: 15 Meter --> 15 Meter No Conversion Required
Drawdown at a Time: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₀ = A*((1/T_r)*ln(H₁/H₂)) --> 20*((1/2)*ln(15/10))

Evaluating ... ...

K₀ = 4.05465108108164

STEP 3: Convert Result to Output's Unit

4.05465108108164 --> No Conversion Required

FINAL ANSWER

4.05465108108164 ≈ 4.054651 <-- Proportionality Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Open Wells » Recuperation Test » Proportionality constant per unit well area of aquifer

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 9 Recuperation Test Calculators

Proportionality constant per unit well area of aquifer

Go Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time))

Equation for Time Interval

Go Time Interval = (Area of the Well/Proportionality Constant)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)

Area of well given time interval

Go Area of the Well = Proportionality Constant*Time Interval/ln(Drawdown at the Start of Recuperation/Drawdown at a Time)

Depression Head when Discharge from Open Well is Considered

Go Depression Head = Yield from an open well/(Specific Capacity*Area of the Well)

Area of well when discharged from open well is considered

Go Area of the Well = Yield from an open well/(Specific Capacity*Depression Head)

Discharge from Open Well under Depression Head

Go Yield from an open well = Specific Capacity*Area of the Well*Depression Head

Specific Capacity per unit Well Area for Discharge from Open Well

Go Specific Capacity = Flow Discharge/(Area of the Well*Depression Head)

Proportionality constant given specific capacity per unit well area of aquifer

Go Proportionality Constant = Area of the Well*Specific Capacity

Area of well given specific capacity per unit well area of aquifer

Go Area of the Well = Proportionality Constant/Specific Capacity

Proportionality constant per unit well area of aquifer Formula

Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time))
K₀ = A*((1/T_r)*ln(H₁/H₂))

What is Groundwater Recharge?

Groundwater Recharge or deep drainage or deep percolation is a hydrologic process, where water moves downward from surface water to groundwater. Recharge is the primary method through which water enters an aquifer.

How to Calculate Proportionality constant per unit well area of aquifer?

Proportionality constant per unit well area of aquifer calculator uses Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)) to calculate the Proportionality Constant, The Proportionality constant per unit well area of aquifer is defined as the aquifer parameter depending on the characteristic of the aquifer and the area of the well, which also represents discharge per unit drawdown. Proportionality Constant is denoted by K₀ symbol.

How to calculate Proportionality constant per unit well area of aquifer using this online calculator? To use this online calculator for Proportionality constant per unit well area of aquifer, enter Area of the Well (A), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂) and hit the calculate button. Here is how the Proportionality constant per unit well area of aquifer calculation can be explained with given input values -> 4.054651 = 20*((1/2)*ln(15/10)).

FAQ

What is Proportionality constant per unit well area of aquifer?

The Proportionality constant per unit well area of aquifer is defined as the aquifer parameter depending on the characteristic of the aquifer and the area of the well, which also represents discharge per unit drawdown and is represented as K₀ = A*((1/T_r)*ln(H₁/H₂)) or Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)). Area of the Well is denoted by A symbol, Time interval for any drawdown is peak-to-trough decline during a specific period, Drawdown at the Start of Recuperation is a term applied to the maximum lowering of the groundwater table & Drawdown at a Time is a term applied to the maximum lowering of the groundwater table.

How to calculate Proportionality constant per unit well area of aquifer?

The Proportionality constant per unit well area of aquifer is defined as the aquifer parameter depending on the characteristic of the aquifer and the area of the well, which also represents discharge per unit drawdown is calculated using Proportionality Constant = Area of the Well*((1/Time Interval)*ln(Drawdown at the Start of Recuperation/Drawdown at a Time)). To calculate Proportionality constant per unit well area of aquifer, you need Area of the Well (A), Time Interval (T_r), Drawdown at the Start of Recuperation (H₁) & Drawdown at a Time (H₂). With our tool, you need to enter the respective value for Area of the Well, Time Interval, Drawdown at the Start of Recuperation & Drawdown at a Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Proportionality Constant?

In this formula, Proportionality Constant uses Area of the Well, Time Interval, Drawdown at the Start of Recuperation & Drawdown at a Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Proportionality Constant = Area of the Well*Specific Capacity

Home

FREE PDFs

🔍 Search